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TECHNICAL PAPERS

Two-Equation Turbulence Modeling for Impeller Stirred Tanks

[+] Author and Article Information
Raymond M. Jones, Sumanta Acharya

Louisiana State University, Baton Rouge, LA 70803

Albert D. Harvey

The Dow Chemical Company, Plaquemine, LA 70765

J. Fluids Eng 123(3), 640-648 (Mar 05, 2001) (9 pages) doi:10.1115/1.1384568 History: Received March 16, 1999; Revised March 05, 2001
Copyright © 2001 by ASME
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References

Harvey,  P. S., and Greaves,  M., 1982, “Turbulent Flow in an Agitated Vessel, Part II: Numerical Solution and Model Predictions,” Trans. Inst. Chem. Eng., 60, pp. 201–210.
Ranade,  V. V., and Joshi,  J. B., 1989, “Flow Generated by Pitched Blade Turbines II: Simulation Using k-ε Model,” Chem. Eng. Commun., 81, pp. 225–248.
Ju,  S. Y., Mulvahill,  T. M., and Pike,  R. W., 1990, “Three-Dimensional Turbulent Flow in Agitated Vessels with a Nonisotropic Viscosity Turbulence Model,” Can. J. Chem. Eng., 68, pp. 3–16.
Kresta,  S. M., and Wood,  P. E., 1991, “Prediction of the Three Dimensional Turbulent Flow in Stirred Tanks,” AIChE J., 37, pp. 448–460.
Bakker,  A., Myers,  K. J., Ward,  R. W., and Lee,  C. K., 1996, “The Laminar and Turbulent Flow Pattern of a Pitched Blade Turbine,” Trans. Inst. Chem. Eng., 74, pp. 485–491.
Ducoste,  J. J., and Clark,  M. M., 1999, “Turbulence in Flocculators: Comparison of Measurements and CFD Simulations,” AIChE J., 45, pp. 432–436.
Dong,  L., Johansen,  S. T., and Engh,  T. A., 1994b, “Flow Induced by an Impeller in an Unbaffled Tank-II. Numerical Modeling,” Chem. Eng. Sci., 49, pp. 3511–3518.
Harvey,  A. D., Wood,  S. P., and Leng,  D. E., 1997, “Experimental and Computational Study of Multiple Impeller Flows,” Chem. Eng. Sci., 52, pp. 1479–1491.
Wechsler,  K., Breuer,  M., and Durst,  F., 1999, “Steady and Unsteady Computations of Turbulent Flows Induced by a 4/45° Pitched-Blade Impeller,” ASME J. Fluids Eng., 121, pp. 318–329.
Dong,  L., Johansen,  S. T., and Engh,  T. A., 1994a, “Flow Induced by an Impeller in an Unbaffled Tank-I. Experimental,” Chem. Eng. Sci., 49, pp. 549–560.
Wilcox, D. C., 1993, Turbulence Modeling for CFD, DCW Industries, La Cañada, CA.
Rogers,  S. E., Kwak,  D., and Kiris,  C., 1991, “Steady and Unsteady Solutions of the Incompressible Navier-Stokes Equations,” AIAA J., 29, pp. 603–610.
Rodi,  W., and Mansour,  N. N., 1993, “Low Reynolds Number k-ε Modeling With the Aid of Direct Simulation Data,” J. Fluid Mech., 250, pp. 509–529.
Sloan,  D. G., Smith,  P. J., and Smoot,  L. D., 1986, “Modeling of Swirl in Turbulent Flow Systems,” Prog. Energy Combust. Sci., 12, pp. 163–250.
Yakhot,  V., and Smith,  L. M., 1992, “The Renormalization Group, the ε-Expansion and Derivation of Turbulence Models,” J. Sci. Comput., 7, pp. 35–61.
“Fluent 4.4 User’s Guide,” 1997, Second Edition, Fluent Inc., Lebanon, NH., Chem. Eng. Sci., 52 , pp. 1479–1491.
Wolfstein,  M., 1969, “The Velocity and Temperature Distribution of One-Dimensional Flow with Turbulence Augmentation and Pressure Gradient,” Int. J. Heat Mass Transf., 12, pp. 301–318.
Reynolds, W. C., 1982, Lectures on Turbulence, presented as a short course at Los Alamos National Laboratories. Los Alamos, NM.
Kresta,  S. M., 1998, “Turbulence in Stirred Tanks: Anisotropic, Approximate, and Applied,” Chem. Eng. Sci., 76, pp. 563–576.
Kresta,  S. M., and Wood,  P. E., 1993, “The Flow Field Produced by a Pitched Blade Turbine: Characterization of the Turbulence and Estimation of the Dissipation Rate,” Chem. Eng. Sci., 48, pp. 1761–1774.
Fort,  I. M., and Makovsky,  T., 1993, “Flow and Turbulence in Baffled System with Impeller with Inclined Blades,” Collect. Czech. Chem. Commun., 33, pp. 31–44.
Zhou,  Genwen, and Kresta,  S. M., 1996, “Distribution of Energy Between Convective and Turbulent Flow for Three Frequently Used Impellers,” Trans. Inst. Chem. Eng., 74A, pp. 379–389.
Jaworski,  Z., Nienow,  A. W., and Dyster,  K. N., 1996, “An LDA Study of Turbulent Flow Field in a Baffled Vessel Agitated by an Axial, Down-Pumping Hydrofoil Impeller,” Can. J. Chem. Eng., 74, pp. 3–15.
Hockey,  R. M., and Nouri,  J. M., 1996, “Turbulent Flow in a Baffled Vessel Stirred by a 60° Pitched Blade Impeller,” Chem. Eng. Sci., 51, pp. 4405–4421.
Brodkey, R. S., 1967, The Phenomena of Fluid Motions, Dover Edition 1995, New York, NY.
Sreenivasan,  K. R., 1984, “On the Scaling of the Turbulence Energy Dissipation Rate,” Phys. Fluids, 27, pp. 1048–1051.
Stoots,  C. M., and Calabrese,  R. C., 1995, “Mean Velocity Field Relative to a Rushton Turbine Blade,” AIChE J., 41, pp. 1–11.
Kresta, S. M., Roussinova, V. and Grgic, B., 1999, ASME/JSME Summer Meeting, July 18–23, San Francisco, CA.
Sahu,  A. K., and Joshi,  J. B., 1995, “Simulation of Flow in Stirred Vessels with Axial Flow Impellers: Effects of Various Numerical Schemes and Turbulence Model Parameters,” Ind. Eng. Chem. Res., 34, pp. 626–639.
Durbin,  P. A., 1991, “Near-Wall Turbulence Closure Modeling Without Damping Functions,” Theor. Comput. Fluid Dyn., 3, pp. 1–13.
Verzicco, R., Iaccarino, G., Fatica, G., and Orlandi, P., 2000, “Flow in an impeller stirred tank using an immersed boundary method,” Annual Research Briefs, Center for Turbulence Research, NASA Ames/Stanford Univ. pp. 251–261.

Figures

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Experimental setup of Dong
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Topology and computational grid for case 1 (left) and case 2 (right)
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Velocity profiles for grid independent study
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Computed mean velocity field, modified k-ε, case 1 (left), case 2 (right)
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Computed tangential velocity
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Computed radial velocity profiles, case 1 (left), case 2 (right)
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Computed axial velocity profiles, case 1 (left), case 2 (right)
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Kinetic energy profiles, profiles, case 1 (left), case 2 (right)
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Eddy viscosity contours, (a) LKW, (b) MKW, (c) LKE, (d) MKE model

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